{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "868dd0cb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "plt.rcParams['font.family'] = 'Times New Roman'\n",
    "# tiktok数据集\n",
    "tiktok_epochs = np.array([5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55])\n",
    "tiktok_val_recall = np.array([0.09308, 0.10783, 0.11177, 0.11111, 0.11078, 0.10947, 0.11177, 0.11013, 0.11046, 0.10521, 0.10488])\n",
    "tiktok_val_ndcg = np.array([0.03937, 0.04561, 0.04687, 0.04671, 0.04688, 0.04592, 0.04652, 0.04518, 0.04603, 0.04342, 0.04350])\n",
    "\n",
    "# sports数据集\n",
    "sports_epochs = np.array([5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120])\n",
    "sports_val_recall = np.array([\n",
    "    0.07130, 0.08912, 0.09553, 0.10009, 0.10094, 0.10250, 0.10318, 0.10481, 0.10456, 0.10602,\n",
    "    0.10549, 0.10577, 0.10552, 0.10601, 0.10543, 0.10556, 0.10416, 0.10554, 0.10464, 0.10456,\n",
    "    0.10439, 0.10370, 0.10408, 0.10340\n",
    "])\n",
    "sports_val_ndcg = np.array([\n",
    "    0.03512, 0.04452, 0.04714, 0.04878, 0.04943, 0.04964, 0.05010, 0.05050, 0.05063, 0.05108,\n",
    "    0.05098, 0.05085, 0.05089, 0.05113, 0.05108, 0.05103, 0.05065, 0.05108, 0.05091, 0.05075,\n",
    "    0.05087, 0.05049, 0.05077, 0.05042\n",
    "])\n",
    "\n",
    "# clothing数据集\n",
    "clothing_epochs = np.array([\n",
    "    5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100,\n",
    "    105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175,\n",
    "    180, 185, 190, 195, 200, 205\n",
    "])\n",
    "clothing_val_recall = np.array([\n",
    "    0.05946, 0.06853, 0.07324, 0.07626, 0.07816, 0.07860, 0.07967, 0.08122, 0.08127,\n",
    "    0.08111, 0.08177, 0.08222, 0.08240, 0.08210, 0.08297, 0.08250, 0.08258, 0.08263,\n",
    "    0.08254, 0.08312, 0.08290, 0.08341, 0.08286, 0.08342, 0.08341, 0.08379, 0.08344,\n",
    "    0.08338, 0.08336, 0.08408, 0.08395, 0.08401, 0.08419, 0.08422, 0.08462, 0.08396,\n",
    "    0.08397, 0.08419, 0.08379, 0.08406, 0.08399\n",
    "])\n",
    "clothing_val_ndcg = np.array([\n",
    "    0.02720, 0.03154, 0.03390, 0.03487, 0.03554, 0.03592, 0.03646, 0.03687, 0.03690,\n",
    "    0.03672, 0.03704, 0.03731, 0.03734, 0.03727, 0.03739, 0.03749, 0.03748, 0.03752,\n",
    "    0.03755, 0.03766, 0.03766, 0.03765, 0.03764, 0.03780, 0.03773, 0.03788, 0.03784,\n",
    "    0.03787, 0.03783, 0.03802, 0.03800, 0.03796, 0.03799, 0.03822, 0.03824, 0.03799,\n",
    "    0.03803, 0.03822, 0.03786, 0.03801, 0.03797\n",
    "])\n",
    "\n",
    "# 绘制合并后的折线图\n",
    "plt.figure(figsize=(12, 8))\n",
    "\n",
    "# Recall曲线\n",
    "plt.plot(tiktok_epochs, tiktok_val_recall, marker='o', linestyle='-', label='TikTok Recall@20')\n",
    "plt.plot(sports_epochs, sports_val_recall, marker='o', linestyle='-', label='Sports Recall@20')\n",
    "plt.plot(clothing_epochs, clothing_val_recall, marker='o', linestyle='-', label='Clothing Recall@20')\n",
    "\n",
    "# NDCG曲线\n",
    "plt.plot(tiktok_epochs, tiktok_val_ndcg, marker='s', linestyle='--', label='TikTok NDCG@20')\n",
    "plt.plot(sports_epochs, sports_val_ndcg, marker='s', linestyle='--', label='Sports NDCG@20')\n",
    "plt.plot(clothing_epochs, clothing_val_ndcg, marker='s', linestyle='--', label='Clothing NDCG@20')\n",
    "\n",
    "# 添加标题和标签\n",
    "plt.title('Comparison of Recall and NDCG Metrics across Datasets', fontsize=16)\n",
    "plt.xlabel('Epoch', fontsize=14)\n",
    "plt.ylabel('Metrics Value', fontsize=14)\n",
    "\n",
    "# 图例和网格\n",
    "plt.legend()\n",
    "plt.grid(True, linestyle='--', alpha=0.6)\n",
    "plt.savefig(\"Training_Curves.pdf\")\n",
    "# 显示图表\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7bb2a01a",
   "metadata": {},
   "outputs": [],
   "source": []
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